Democrats and Republicans alike seized on the remark as evidence that Romney is a flip-flopper willing to alter his positions for political gain.
GOP rival Newt Gingrich, the former House speaker, told voters in Louisiana that "having an Etch A Sketch as your campaign model raises every doubt about where we're going."
Rick Santorum brandished an Etch A Sketch and told voters he is a candidate who stands "firmly on the rocks of freedom, not on the sands of an Etch A Sketch toy." The former Pennsylvania senator's staff also handed out miniature Etch A Sketches to reporters.
While Romney's opponents are hoping the remark will erase his momentum and reframe the debate, the biggest winner might be Ohio Art.
Its stock, which trades over the counter, nearly tripled Thursday, closing at $9.65, and major stores reported a jump in sales, said chairman Bill Killgallon.
"We're proud that one of our products is shaking up the debate," he said.
Ohio Art has sold more than 100 million Etch A Sketches worldwide since its introduction in 1960. The toy, with its familiar gray screen and bright-red frame, allows youngsters to make drawings by twisting two white knobs. A quick shake erases the image and lets you start over.
Etch A Sketches were made in Ohio until 2000, when the company moved production to China because of increasing costs.
Over the years, Ohio Art and Etch A Sketch have benefited from millions of dollars in free advertising from movies and television. The company saw a big jump in sales after Etch A Sketch landed a role in Toy Story and Toy Story 2.
In fact, the toy gets so much free publicity that Ohio Art spends very little on advertising it.
The company, based in Bryan, doesn't release annual sales figures but says Etch A Sketch has a steady market. It's most popular with grandparents and mothers who are looking for a bit of nostalgia.
How long the latest bump will last is anybody's guess.
"I'm not sure that just because the candidates are talking about Etch A Sketch that kids are going to tell their moms to go out and buy one," said Martin Killgallon, the company's marketing director.
One thing the Etch A Sketch won't do is pick sides in the campaign, he said.
"We have a left knob and a right knob," he said, "so we neutrally speak to both parties."